If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

Explanation

let the three nos in AP be a,b,c respectively

so, `a-d+a+a+d = 3a =24`

`a=8`

now, `a(a-d)(a+d) = 440`

`a(a^2 - d^2) = 440`

`8(64-d^2) = 440`

`64- d^2 = 55`

`d^2 = 64-55=9`

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